scipy.stats.unitary_group¶
-
scipy.stats.
unitary_group
= <scipy.stats._multivariate.unitary_group_gen object>[source]¶ A matrix-valued U(N) random variable.
Return a random unitary matrix.
The dim keyword specifies the dimension N.
- Parameters
- dimscalar
Dimension of matrices
Notes
This class is similar to
ortho_group
.References
- 1
F. Mezzadri, “How to generate random matrices from the classical compact groups”, arXiv:math-ph/0609050v2.
Examples
>>> from scipy.stats import unitary_group >>> x = unitary_group.rvs(3)
>>> np.dot(x, x.conj().T) array([[ 1.00000000e+00, 1.13231364e-17, -2.86852790e-16], [ 1.13231364e-17, 1.00000000e+00, -1.46845020e-16], [ -2.86852790e-16, -1.46845020e-16, 1.00000000e+00]])
This generates one random matrix from U(3). The dot product confirms that it is unitary up to machine precision.
Methods
``rvs(dim=None, size=1, random_state=None)``
Draw random samples from U(N).